SU\G(𝔸)/K·U

Sufficient conditions for the existence of bound states in a central potential

Fabian Brau

Type: Article

Publication Date: 2004-06-17

Citations: 7

DOI: https://doi.org/10.1088/0305-4470/37/26/006

Abstract

We show how a large class of sufficient conditions for the existence of bound states, in non-positive central potentials, can be constructed. These sufficient conditions yield upper limits on the critical value, g(ℓ)c, of the coupling constant (strength), g, and of the potential, V(r) = −gv(r), for which a first ℓ-wave bound state appears. These upper limits are significantly more stringent than hitherto known results.

Locations

  • Journal of Physics A Mathematical and General - View
  • arXiv (Cornell University) - View - PDF
  • Dépôt institutionnel de l'Université libre de Bruxelles (Université Libre de Bruxelles) - View - PDF
  • DataCite API - View

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Action Title Year Authors
+ Necessary condition for the existence of bound states 1965 P. Calogero
+ PDF Chat New bounds on the number of bound states 1983 K. Chadan
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+ On the Scattering of a Particle by a Static Potential 1951 Res Jost
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+ PDF Chat An inequality onS wave bound states, with correct coupling constant dependence 1977 A. Martin
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